Enumeration of ribbon 2-knots presented by virtual arcs with up to four crossings

Author:

Kanenobu Taizo1,Komatsu Seiya1

Affiliation:

1. Department of Mathematics, Osaka City University, Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan

Abstract

We enumerate ribbon 2-knots presented by virtual arc diagrams with up to four classical crossings. We use a linear Gauss diagram for a virtual arc diagram.

Funder

KAKENHI

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Classification of ribbon 2-knots of 1-fusion with length up to six;Topology and its Applications;2021-09

2. Classification of ribbon 2-knots presented by virtual arcs with up to four crossings;Journal of Knot Theory and Its Ramifications;2019-09

3. The Search for Nonsymmetric Ribbon Knots;Experimental Mathematics;2019-03-12

4. Ribbon 2-knots of ribbon crossing number four;Journal of Knot Theory and Its Ramifications;2018-09

5. CLASSIFICATION OF A FAMILY OF RIBBON 2-KNOTS WITH TRIVIAL ALEXANDER POLYNOMIAL;COMMUN KOREAN MATH S;2018

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